Bifurcations of nontwisted heteroclinic loop

被引：18
|
作者：
Tian, QP [1 ]
Zhu, DM [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2000年 / 43卷 / 08期
基金：
中国国家自然科学基金;
关键词：
heteroclinic orbit; homoclinic orbit; periodic orbit; inside stability;
D O I：
10.1007/BF02884181
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bifurcations of nontwisted and fine heteroclinic loops are studied for higher dimensional systems. The existence and its associated existing regions are given for the 1-hom orbit and the 1-per orbit, respectively, and bifurcation surfaces of the two-fold periodic orbit are also obtained. At last, these bifurcation results are applied to the fine heteroclinic loop for the planar system, which leads to some new and interesting results.
引用
收藏
页码：818 / 828
页数：11
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